The HCF and the LCM of two numbers are 5 and 175, respectively. If the ratio of the two numbers is 5 : 7, the larger of the two numbers is _______.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 35.
We know that,
⇒ a × b = L.C.M × H.C.F
The ratio of the two numbers is 5 : 7 = 5x : 7x
⇒ 5x × 7x = 5 × 175
⇒ 35x2 = 5 × 175
⇒ x2 = 25
⇒ x = 5
One number = 5x = 25
Another number = 7x = 35
Largest number = 35